48 citations · 67 across the 6 of their papers we have counts for
7 papers
Projection Theorems for -Intermediate Dimensions
Lara Daw, Najmeddine Attia
-intermediate dimensions interpolate between Hausdorff and box-counting dimensions by restricting admissible coverings to scale windows of the form . Using a family of…
Multifractal analysis and Erdös-Rényi laws of large numbers for branching random walks in
Najmeddine Attia, Julien Barral
We revisit the multifractal analysis of -valued branching random walks averages by considering subsets of full Hausdorff dimension of the standard level sets, over each infin…
On a class of Hausdorff measure of cartesian product sets
Hajer Jebali, Riheb Guedri, Najmeddine Attia
In this paper, we study, in a separable metric space, a class of Hausdorff measures defined using a measure and a premeasure . We discuss a Hausdorff…
A note on the generalized Hausdorff and packing measures of product sets in metric space
Rihab Guedri, Najmeddine Attia
Let and be two Borel probability measures on two separable metric spaces $\X$ and $\Y$ respectively. For be two Hausdorff functions and , we introduce and i…
On the Hewitt Stromberg dimension of product sets
Najmeddine Attia
In this paper, we construct new multifractal measures, on the Euclidean space , in a similar manner to Hewitt-Stomberg measures but using the class of all -dimensi…
A multifractal formalism for Hewitt-Stromberg measures
Najmeddine Attia, Bilel Selmi
In the present work, we give a new {\it multifractal formalism} for which the classical multifractal formalism does not hold. We precisely introduce and study a multifractal formal…
Hausdorff and packing spectra, large deviations, and free energy for branching random walks in
Najmeddine Attia, Julien Barral
Consider an -valued branching random walk (BRW) on a supercritical Galton Watson tree. Without any assumption on the distribution of this BRW we compute, almost surely and si…